Question

Inverse Function -5 + 5/2x

Answer 1

y = (2/5)x + 2

Explanation:

To find the inverse of a function, we simply exchange the variables x and y and solve for y.

For this function we will write it as such:

y = -5 + (5/2)x

So to find the inverse, we will swap the x and y and solve.

y = -5 + (5/2)x

x = -5 + (5/2)y

x + 5 = (5/2)y

(2/5) * (x + 5) = y

(2/5)x + (2/5)5 = y

(2/5)x + 2 = y

Thus the inverse of the function is:

y = (2/5)x + 2

Cheers.